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Finding the Fourth Proportional to 5,798.49, 8,006.07 and 3,563.36

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Solution

The fourth proportional to 5,798.49, 8,006.07 and 3,563.36 is: 4,919.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.49 : 8,006.07 = 3,563.36 : x
  2. Step 2: Convert to fraction form
    5,798.49/8,006.07 = 3,563.36/x
  3. Step 3: Cross multiply
    5,798.49x = 8,006.07 × 3,563.36
  4. Step 4: Simplify right side
    5,798.49x = 28,528,509.60
  5. Step 5: Solve for x
    x = 28,528,509.60/5,798.49
  6. Step 6: Final answer
    x = 4,919.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.